English

Multivariate analysis-suitable T-splines of arbitrary degree

Numerical Analysis 2023-04-28 v3 Numerical Analysis

Abstract

This paper defines analysis-suitable T-splines for arbitrary degree (including even and mixed degrees) and arbitrary dimension. We generalize the concept of anchor elements known from the two-dimensional setting, extend existing concepts of analysis-suitability and show their sufficiency for linearly independent T-splines.

Keywords

Cite

@article{arxiv.2112.05055,
  title  = {Multivariate analysis-suitable T-splines of arbitrary degree},
  author = {Robin Görmer and Philipp Morgenstern},
  journal= {arXiv preprint arXiv:2112.05055},
  year   = {2023}
}

Comments

32 pages, 14 figures, 3 tables

R2 v1 2026-06-24T08:11:05.066Z